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Byju's Answer
Standard IX
Mathematics
Relationship between Unequal Sides of Triangle and the Angles Opposite to It.
In Δ PQR, if ...
Question
Question 9
In
Δ
P
Q
R
, if
∠
R
>
∠
Q
, then
(A) QR > PR
(B) PQ > PR
(C) PQ < PR
(D) QR < PR
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Solution
Given
∠
R
>
∠
Q
⇒
P
Q
>
P
R
[side opposite to greater angle is longer]
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Similar questions
Q.
Question 9
In
Δ
P
Q
R
,
a) PQ - QR > PR
b) PQ + QR < PR
c) PQ - QR < PR
d) PQ + PR < QR
Q.
In ΔPQR, if
∠
R
>
∠
Q
, then
(a) QR > PR
(b) PQ > PR
(c) PQ < PR
(d) QR < PR
Q.
Choose the correct alternative answer for the following questions.
(i)
If two sides of a triangle are 5 cm and 1.5 cm, the lenght of its third side cannot be . . . . . . . .
(A) 3.7 cm
(B) 4.1 cm
(C) 3.8 cm
(D) 3.4 cm
(ii)
In
∆
PQR, If
∠
R >
∠
Q then . . . . . . . .
(A) QR > PR
(B) PQ > PR
(C) PQ < PR
(D) QR < PR
(iii)
In
∆
TPQ,
∠
T = 65
°
,
∠
P = 95
°
which of the following is a true statement ?
(A) PQ < TP
(B) PQ < TQ
(C) TQ < TP < PQ
(D) PQ < TP < TQ
Q.
Simplify:
(
p
q
−
q
r
+
p
r
)
(
p
q
+
q
r
)
−
(
p
r
+
p
q
)
(
p
+
q
−
r
)
Q.
A =
⎡
⎢
⎣
−
q
r
p
(
q
+
r
)
p
r
+
p
q
p
q
+
q
r
−
p
r
p
q
+
q
r
q
r
+
p
r
q
r
+
p
r
−
p
q
⎤
⎥
⎦
then
|
A
|
equals:
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Relationship between Unequal Sides of Triangle and the Angles Opposite to It.
Standard IX Mathematics
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